No, I wouldn't recommend a body lift. I'm not a big fan of them myself.
You should have plenty of lift the way you are. Unless you are planning on running 35-38" tires there shouldn't be any need to go higher. The Sway Bar might help with body roll around corners but usually doesn't help to much with the bump steer problem.
I just put a steering stabilizer back on my SJ after running for years without one. The new tires are a bit out of balance when most of the air is let out of them, I'm hoping this fixes that issue.